Harmonic Formulas for Filtering Applications (continued)
By Neal S. Ciurro

Harmonic Formulas for filtering applications (continued):

Series Resonant Circuit

For the series R-L-C circuit resonance will occur when the total impedance is purely resistance.

This occurs when X_L = X_C

With this we can expand this

and

We already know, from earlier discussions, that

and

and

and we allow H to be a multiple of "f" we can force (2) to look like this

then changing this to

Reducing this we get

H will be the harmonic multiple to the fundamental

From an earlier paper we showed the following:

From (3) we can come up with the systems harmonic resonance

Where:

H = harmonic order

MVA_sc= = available short circuit at the capacitor bank .

MVAR = capacitor bank size.